Results 1 to 2 of 2

Thread: Vector space

  1. March 1st 2009, 05:02 AM #1
    sbcd90
    sbcd90 is offline
    Junior Member
    Joined
    Feb 2009
    Posts
    36

    Vector space

    S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

    find a linearly independent subset S1 of S such that,L(S1)=L(S).
    Follow Math Help Forum on Facebook and Google+
  2. March 1st 2009, 10:55 PM #2
    CaptainBlack
    CaptainBlack is offline
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    3
    Quote Originally Posted by sbcd90 View Post
    S={(1,2,0),(2,1,3),(1,1,1),(2,3,1)} is defined in R3.

    find a linearly independent subset S1 of S such that,L(S1)=L(S).
    s_1=s_4-s_3

    s_2=4s_3-s_4

    and obviously L(S) is 2-dimensional, so L(\{s_3,s_4\})=L(S)

    CB
    Follow Math Help Forum on Facebook and Google+
« Elementary row operations | Last basis q, I swear »

Similar Math Help Forum Discussions

  1. Dual Space of a Vector Space Question
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: April 16th 2011, 03:02 AM
  2. Every vector space over R or C can be made into an inner product space
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 1st 2011, 02:40 AM
  3. Banach space with infinite vector space basis?
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 24th 2011, 06:23 PM
  4. Every nonzero vector space can be viewed as a space of functions
    Posted in the Advanced Algebra Forum
    Replies: 15
    Last Post: July 23rd 2010, 11:46 AM
  5. Isomorphism beetwenn vector space and sub space
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 30th 2008, 10:05 AM

Search Tags


/mathhelpforum @mathhelpforum